Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 116 | 134 | 100 | 116 | 123 | 184 | 293 | 259 |
N.S. |
1 | 0.77 | 0.89 | 0.66 | 0.77 | 0.81 | 1.22 | 1.94 | 1.72 |
time (sec) |
N/A | 0.269 | 0.570 | 1.458 | 0.210 | 0.291 | 1.592 | 6.418 | 17.949 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 92 | 106 | 82 | 94 | 101 | 148 | 247 | 204 |
N.S. |
1 | 0.78 | 0.90 | 0.69 | 0.80 | 0.86 | 1.25 | 2.09 | 1.73 |
time (sec) |
N/A | 0.260 | 0.507 | 1.030 | 0.220 | 0.297 | 0.844 | 3.630 | 17.600 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 66 | 82 | 60 | 72 | 79 | 112 | 201 | 151 |
N.S. |
1 | 0.76 | 0.94 | 0.69 | 0.83 | 0.91 | 1.29 | 2.31 | 1.74 |
time (sec) |
N/A | 0.243 | 0.392 | 0.862 | 0.197 | 0.279 | 0.414 | 1.604 | 18.381 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 46 | 55 | 44 | 50 | 57 | 76 | 155 | 96 |
N.S. |
1 | 0.81 | 0.96 | 0.77 | 0.88 | 1.00 | 1.33 | 2.72 | 1.68 |
time (sec) |
N/A | 0.238 | 0.141 | 0.898 | 0.202 | 0.281 | 0.204 | 0.637 | 15.219 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 22 | 25 | 20 | 26 | 34 | 37 | 106 | 40 |
N.S. |
1 | 0.88 | 1.00 | 0.80 | 1.04 | 1.36 | 1.48 | 4.24 | 1.60 |
time (sec) |
N/A | 0.211 | 0.014 | 0.292 | 0.199 | 0.298 | 0.098 | 0.324 | 14.700 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 38 | 33 | 14 | 16 | 0 | 58 | 34 |
N.S. |
1 | 1.00 | 2.38 | 2.06 | 0.88 | 1.00 | 0.00 | 3.62 | 2.12 |
time (sec) |
N/A | 0.202 | 0.018 | 0.444 | 0.201 | 0.278 | 0.000 | 0.279 | 14.579 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 51 | 114 | 75 | 42 | 69 | 0 | 103 | 46 |
N.S. |
1 | 0.89 | 2.00 | 1.32 | 0.74 | 1.21 | 0.00 | 1.81 | 0.81 |
time (sec) |
N/A | 0.242 | 0.521 | 0.498 | 0.235 | 0.279 | 0.000 | 0.314 | 13.950 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 81 | 175 | 111 | 86 | 150 | 0 | 149 | 88 |
N.S. |
1 | 0.85 | 1.84 | 1.17 | 0.91 | 1.58 | 0.00 | 1.57 | 0.93 |
time (sec) |
N/A | 0.262 | 0.162 | 0.697 | 0.202 | 0.272 | 0.000 | 0.361 | 13.980 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 111 | 165 | 151 | 126 | 241 | 0 | 197 | 118 |
N.S. |
1 | 0.83 | 1.24 | 1.14 | 0.95 | 1.81 | 0.00 | 1.48 | 0.89 |
time (sec) |
N/A | 0.283 | 0.441 | 0.831 | 0.206 | 0.285 | 0.000 | 0.386 | 14.184 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 148 | 241 | 180 | 164 | 156 | 0 | 174 | 242 |
N.S. |
1 | 1.15 | 1.87 | 1.40 | 1.27 | 1.21 | 0.00 | 1.35 | 1.88 |
time (sec) |
N/A | 0.632 | 0.052 | 1.674 | 0.297 | 0.319 | 0.000 | 4.832 | 15.177 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 115 | 179 | 143 | 134 | 134 | 0 | 146 | 188 |
N.S. |
1 | 1.13 | 1.75 | 1.40 | 1.31 | 1.31 | 0.00 | 1.43 | 1.84 |
time (sec) |
N/A | 0.480 | 0.052 | 1.460 | 0.291 | 0.296 | 0.000 | 2.217 | 14.919 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 82 | 117 | 104 | 102 | 112 | 0 | 118 | 134 |
N.S. |
1 | 1.12 | 1.60 | 1.42 | 1.40 | 1.53 | 0.00 | 1.62 | 1.84 |
time (sec) |
N/A | 0.348 | 0.035 | 1.537 | 0.311 | 0.284 | 0.000 | 0.940 | 14.871 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 48 | 60 | 67 | 65 | 87 | 0 | 88 | 80 |
N.S. |
1 | 1.07 | 1.33 | 1.49 | 1.44 | 1.93 | 0.00 | 1.96 | 1.78 |
time (sec) |
N/A | 0.231 | 0.023 | 0.698 | 0.290 | 0.285 | 0.000 | 0.504 | 14.215 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 43 | 26 | 31 | 33 | 0 | 26 | 19 |
N.S. |
1 | 1.00 | 1.65 | 1.00 | 1.19 | 1.27 | 0.00 | 1.00 | 0.73 |
time (sec) |
N/A | 0.206 | 0.017 | 0.443 | 0.282 | 0.253 | 0.000 | 0.299 | 14.177 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 58 | 62 | 62 | 59 | 72 | 0 | 56 | 53 |
N.S. |
1 | 1.05 | 1.13 | 1.13 | 1.07 | 1.31 | 0.00 | 1.02 | 0.96 |
time (sec) |
N/A | 0.310 | 0.029 | 0.912 | 0.287 | 0.293 | 0.000 | 0.328 | 14.331 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 92 | 79 | 118 | 79 | 139 | 0 | 83 | 156 |
N.S. |
1 | 1.10 | 0.94 | 1.40 | 0.94 | 1.65 | 0.00 | 0.99 | 1.86 |
time (sec) |
N/A | 0.441 | 0.035 | 1.069 | 0.293 | 0.261 | 0.000 | 0.347 | 14.441 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 119 | 92 | 150 | 100 | 210 | 0 | 113 | 204 |
N.S. |
1 | 1.07 | 0.83 | 1.35 | 0.90 | 1.89 | 0.00 | 1.02 | 1.84 |
time (sec) |
N/A | 0.583 | 0.040 | 1.409 | 0.293 | 0.276 | 0.000 | 0.393 | 14.787 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 158 | 111 | 205 | 119 | 279 | 0 | 140 | 252 |
N.S. |
1 | 1.13 | 0.79 | 1.46 | 0.85 | 1.99 | 0.00 | 1.00 | 1.80 |
time (sec) |
N/A | 0.737 | 0.049 | 1.777 | 0.300 | 0.293 | 0.000 | 0.429 | 15.269 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 132 | 193 | 114 | 149 | 156 | 314 | 342 | 308 |
N.S. |
1 | 0.69 | 1.01 | 0.59 | 0.78 | 0.81 | 1.64 | 1.78 | 1.60 |
time (sec) |
N/A | 0.283 | 1.193 | 2.273 | 0.211 | 0.291 | 2.473 | 6.023 | 18.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 94 | 159 | 84 | 110 | 117 | 252 | 292 | 249 |
N.S. |
1 | 0.71 | 1.20 | 0.64 | 0.83 | 0.89 | 1.91 | 2.21 | 1.89 |
time (sec) |
N/A | 0.275 | 0.743 | 1.724 | 0.209 | 0.299 | 1.187 | 3.875 | 18.220 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 84 | 125 | 74 | 97 | 104 | 189 | 242 | 192 |
N.S. |
1 | 0.70 | 1.04 | 0.62 | 0.81 | 0.87 | 1.58 | 2.02 | 1.60 |
time (sec) |
N/A | 0.262 | 0.326 | 1.364 | 0.211 | 0.277 | 0.595 | 1.775 | 17.792 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 50 | 83 | 46 | 58 | 65 | 126 | 192 | 133 |
N.S. |
1 | 0.77 | 1.28 | 0.71 | 0.89 | 1.00 | 1.94 | 2.95 | 2.05 |
time (sec) |
N/A | 0.250 | 0.137 | 1.078 | 0.200 | 0.281 | 0.297 | 0.772 | 16.683 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 36 | 51 | 34 | 43 | 52 | 60 | 142 | 76 |
N.S. |
1 | 0.75 | 1.06 | 0.71 | 0.90 | 1.08 | 1.25 | 2.96 | 1.58 |
time (sec) |
N/A | 0.235 | 0.082 | 0.440 | 0.216 | 0.279 | 0.137 | 0.403 | 14.193 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 29 | 29 | 49 | 31 | 35 | 0 | 64 | 36 |
N.S. |
1 | 0.83 | 0.83 | 1.40 | 0.89 | 1.00 | 0.00 | 1.83 | 1.03 |
time (sec) |
N/A | 0.234 | 0.032 | 0.497 | 0.225 | 0.295 | 0.000 | 0.299 | 14.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 32 | 56 | 69 | 34 | 48 | 0 | 111 | 50 |
N.S. |
1 | 0.80 | 1.40 | 1.72 | 0.85 | 1.20 | 0.00 | 2.78 | 1.25 |
time (sec) |
N/A | 0.244 | 0.060 | 0.750 | 0.226 | 0.271 | 0.000 | 0.345 | 13.861 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 69 | 86 | 114 | 72 | 122 | 0 | 138 | 62 |
N.S. |
1 | 0.81 | 1.01 | 1.34 | 0.85 | 1.44 | 0.00 | 1.62 | 0.73 |
time (sec) |
N/A | 0.270 | 0.216 | 1.019 | 0.199 | 0.282 | 0.000 | 0.388 | 14.630 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 99 | 114 | 171 | 109 | 191 | 0 | 186 | 113 |
N.S. |
1 | 0.78 | 0.90 | 1.35 | 0.86 | 1.50 | 0.00 | 1.46 | 0.89 |
time (sec) |
N/A | 0.286 | 0.170 | 1.595 | 0.206 | 0.295 | 0.000 | 0.413 | 13.990 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 129 | 146 | 213 | 165 | 322 | 0 | 238 | 149 |
N.S. |
1 | 0.76 | 0.86 | 1.26 | 0.98 | 1.91 | 0.00 | 1.41 | 0.88 |
time (sec) |
N/A | 0.318 | 0.272 | 2.887 | 0.227 | 0.291 | 0.000 | 0.442 | 14.456 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 218 | 168 | 151 | 165 | 0 | 180 | 234 |
N.S. |
1 | 1.00 | 1.35 | 1.04 | 0.94 | 1.02 | 0.00 | 1.12 | 1.45 |
time (sec) |
N/A | 0.408 | 0.702 | 2.176 | 0.311 | 0.296 | 0.000 | 2.398 | 15.388 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 150 | 130 | 119 | 139 | 0 | 148 | 174 |
N.S. |
1 | 1.00 | 1.26 | 1.09 | 1.00 | 1.17 | 0.00 | 1.24 | 1.46 |
time (sec) |
N/A | 0.356 | 0.341 | 1.630 | 0.313 | 0.300 | 0.000 | 1.090 | 14.769 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 81 | 92 | 83 | 111 | 0 | 99 | 101 |
N.S. |
1 | 1.00 | 1.12 | 1.28 | 1.15 | 1.54 | 0.00 | 1.38 | 1.40 |
time (sec) |
N/A | 0.309 | 0.219 | 0.797 | 0.295 | 0.297 | 0.000 | 0.623 | 13.347 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 46 | 30 | 48 | 42 | 0 | 31 | 24 |
N.S. |
1 | 1.00 | 1.31 | 0.86 | 1.37 | 1.20 | 0.00 | 0.89 | 0.69 |
time (sec) |
N/A | 0.251 | 0.035 | 1.106 | 0.297 | 0.279 | 0.000 | 0.324 | 13.106 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 87 | 53 | 77 | 81 | 0 | 50 | 39 |
N.S. |
1 | 1.00 | 1.26 | 0.77 | 1.12 | 1.17 | 0.00 | 0.72 | 0.57 |
time (sec) |
N/A | 0.313 | 0.351 | 1.319 | 0.298 | 0.280 | 0.000 | 0.352 | 13.936 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 105 | 100 | 97 | 118 | 0 | 80 | 78 |
N.S. |
1 | 1.00 | 0.98 | 0.93 | 0.91 | 1.10 | 0.00 | 0.75 | 0.73 |
time (sec) |
N/A | 0.324 | 0.336 | 1.625 | 0.303 | 0.288 | 0.000 | 0.386 | 13.984 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 121 | 143 | 117 | 173 | 0 | 112 | 182 |
N.S. |
1 | 1.00 | 0.87 | 1.03 | 0.84 | 1.24 | 0.00 | 0.81 | 1.31 |
time (sec) |
N/A | 0.372 | 0.581 | 2.565 | 0.303 | 0.292 | 0.000 | 0.414 | 14.325 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 141 | 188 | 137 | 274 | 0 | 145 | 230 |
N.S. |
1 | 1.00 | 0.79 | 1.05 | 0.77 | 1.53 | 0.00 | 0.81 | 1.28 |
time (sec) |
N/A | 0.408 | 1.766 | 4.477 | 0.295 | 0.285 | 0.000 | 0.484 | 15.173 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 144 | 214 | 124 | 162 | 169 | 439 | 367 | 337 |
N.S. |
1 | 0.69 | 1.02 | 0.59 | 0.77 | 0.80 | 2.09 | 1.75 | 1.60 |
time (sec) |
N/A | 0.288 | 0.783 | 3.026 | 0.217 | 0.313 | 3.405 | 5.959 | 17.795 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 98 | 167 | 86 | 110 | 117 | 350 | 317 | 278 |
N.S. |
1 | 0.72 | 1.22 | 0.63 | 0.80 | 0.85 | 2.55 | 2.31 | 2.03 |
time (sec) |
N/A | 0.272 | 0.464 | 2.221 | 0.211 | 0.304 | 1.667 | 3.829 | 17.913 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 96 | 140 | 84 | 110 | 117 | 255 | 267 | 221 |
N.S. |
1 | 0.70 | 1.01 | 0.61 | 0.80 | 0.85 | 1.85 | 1.93 | 1.60 |
time (sec) |
N/A | 0.275 | 0.294 | 1.659 | 0.211 | 0.288 | 0.871 | 2.031 | 17.653 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 70 | 92 | 66 | 84 | 91 | 165 | 217 | 162 |
N.S. |
1 | 0.71 | 0.93 | 0.67 | 0.85 | 0.92 | 1.67 | 2.19 | 1.64 |
time (sec) |
N/A | 0.265 | 0.235 | 1.475 | 0.211 | 0.302 | 0.442 | 0.929 | 18.074 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 48 | 64 | 44 | 58 | 65 | 76 | 167 | 105 |
N.S. |
1 | 0.73 | 0.97 | 0.67 | 0.88 | 0.98 | 1.15 | 2.53 | 1.59 |
time (sec) |
N/A | 0.235 | 0.115 | 0.694 | 0.215 | 0.274 | 0.193 | 0.434 | 14.589 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 39 | 36 | 79 | 43 | 61 | 0 | 145 | 86 |
N.S. |
1 | 0.81 | 0.75 | 1.65 | 0.90 | 1.27 | 0.00 | 3.02 | 1.79 |
time (sec) |
N/A | 0.246 | 0.064 | 0.681 | 0.202 | 0.289 | 0.000 | 0.353 | 13.956 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 34 | 46 | 69 | 34 | 50 | 0 | 109 | 48 |
N.S. |
1 | 0.85 | 1.15 | 1.72 | 0.85 | 1.25 | 0.00 | 2.72 | 1.20 |
time (sec) |
N/A | 0.252 | 0.103 | 1.410 | 0.210 | 0.289 | 0.000 | 0.350 | 14.326 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 52 | 72 | 94 | 59 | 82 | 0 | 138 | 78 |
N.S. |
1 | 0.85 | 1.18 | 1.54 | 0.97 | 1.34 | 0.00 | 2.26 | 1.28 |
time (sec) |
N/A | 0.257 | 0.132 | 1.575 | 0.212 | 0.283 | 0.000 | 0.406 | 14.257 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 85 | 102 | 136 | 96 | 178 | 0 | 165 | 94 |
N.S. |
1 | 0.79 | 0.95 | 1.27 | 0.90 | 1.66 | 0.00 | 1.54 | 0.88 |
time (sec) |
N/A | 0.273 | 0.503 | 2.846 | 0.219 | 0.303 | 0.000 | 0.427 | 14.407 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 115 | 130 | 193 | 142 | 272 | 0 | 213 | 130 |
N.S. |
1 | 0.77 | 0.87 | 1.30 | 0.95 | 1.83 | 0.00 | 1.43 | 0.87 |
time (sec) |
N/A | 0.301 | 0.271 | 5.226 | 0.205 | 0.289 | 0.000 | 0.484 | 14.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 292 | 228 | 262 | 178 | 0 | 196 | 263 |
N.S. |
1 | 1.00 | 1.23 | 0.96 | 1.11 | 0.75 | 0.00 | 0.83 | 1.11 |
time (sec) |
N/A | 0.536 | 1.189 | 2.927 | 0.298 | 0.317 | 0.000 | 2.690 | 15.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 200 | 194 | 210 | 152 | 0 | 164 | 203 |
N.S. |
1 | 1.00 | 1.18 | 1.15 | 1.24 | 0.90 | 0.00 | 0.97 | 1.20 |
time (sec) |
N/A | 0.445 | 0.457 | 2.261 | 0.306 | 0.285 | 0.000 | 1.278 | 14.832 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 107 | 139 | 147 | 113 | 0 | 132 | 146 |
N.S. |
1 | 1.00 | 1.09 | 1.42 | 1.50 | 1.15 | 0.00 | 1.35 | 1.49 |
time (sec) |
N/A | 0.353 | 0.374 | 1.000 | 0.291 | 0.302 | 0.000 | 0.738 | 14.309 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 109 | 71 | 85 | 84 | 0 | 66 | 35 |
N.S. |
1 | 1.00 | 2.22 | 1.45 | 1.73 | 1.71 | 0.00 | 1.35 | 0.71 |
time (sec) |
N/A | 0.284 | 0.626 | 1.302 | 0.309 | 0.289 | 0.000 | 0.368 | 13.978 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 85 | 53 | 90 | 82 | 0 | 50 | 39 |
N.S. |
1 | 1.00 | 1.23 | 0.77 | 1.30 | 1.19 | 0.00 | 0.72 | 0.57 |
time (sec) |
N/A | 0.329 | 0.260 | 1.729 | 0.301 | 0.279 | 0.000 | 0.350 | 13.568 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 105 | 76 | 122 | 118 | 0 | 66 | 62 |
N.S. |
1 | 1.00 | 0.98 | 0.71 | 1.14 | 1.10 | 0.00 | 0.62 | 0.58 |
time (sec) |
N/A | 0.367 | 0.473 | 2.892 | 0.300 | 0.271 | 0.000 | 0.397 | 14.239 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 123 | 121 | 152 | 160 | 0 | 96 | 91 |
N.S. |
1 | 1.00 | 0.87 | 0.86 | 1.08 | 1.13 | 0.00 | 0.68 | 0.65 |
time (sec) |
N/A | 0.413 | 0.758 | 4.797 | 0.290 | 0.269 | 0.000 | 0.439 | 14.505 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 141 | 166 | 182 | 235 | 0 | 128 | 206 |
N.S. |
1 | 1.00 | 0.79 | 0.93 | 1.02 | 1.31 | 0.00 | 0.72 | 1.15 |
time (sec) |
N/A | 0.445 | 1.793 | 7.813 | 0.294 | 0.282 | 0.000 | 0.500 | 15.082 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 159 | 209 | 212 | 314 | 0 | 161 | 254 |
N.S. |
1 | 1.00 | 0.75 | 0.98 | 1.00 | 1.47 | 0.00 | 0.76 | 1.19 |
time (sec) |
N/A | 0.509 | 3.675 | 12.938 | 0.315 | 0.308 | 0.000 | 0.571 | 15.849 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 92 | 137 | 86 | 90 | 95 | 0 | 245 | 208 |
N.S. |
1 | 0.68 | 1.01 | 0.64 | 0.67 | 0.70 | 0.00 | 1.81 | 1.54 |
time (sec) |
N/A | 0.268 | 0.414 | 1.239 | 0.237 | 0.293 | 0.000 | 5.983 | 18.113 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 72 | 103 | 62 | 70 | 75 | 0 | 201 | 153 |
N.S. |
1 | 0.74 | 1.06 | 0.64 | 0.72 | 0.77 | 0.00 | 2.07 | 1.58 |
time (sec) |
N/A | 0.265 | 0.194 | 1.113 | 0.213 | 0.307 | 0.000 | 3.487 | 18.022 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 46 | 65 | 48 | 50 | 55 | 0 | 157 | 99 |
N.S. |
1 | 0.70 | 0.98 | 0.73 | 0.76 | 0.83 | 0.00 | 2.38 | 1.50 |
time (sec) |
N/A | 0.250 | 0.159 | 1.018 | 0.220 | 0.280 | 0.000 | 1.488 | 14.395 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 26 | 21 | 24 | 28 | 33 | 0 | 111 | 44 |
N.S. |
1 | 0.93 | 0.75 | 0.86 | 1.00 | 1.18 | 0.00 | 3.96 | 1.57 |
time (sec) |
N/A | 0.239 | 0.054 | 0.617 | 0.230 | 0.274 | 0.000 | 0.598 | 13.941 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 27 | 17 | 19 | 41 | 31 | 21 |
N.S. |
1 | 1.00 | 1.12 | 1.59 | 1.00 | 1.12 | 2.41 | 1.82 | 1.24 |
time (sec) |
N/A | 0.201 | 0.015 | 0.241 | 0.213 | 0.289 | 2.017 | 0.322 | 14.494 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 51 | 67 | 43 | 47 | 60 | 0 | 86 | 49 |
N.S. |
1 | 0.84 | 1.10 | 0.70 | 0.77 | 0.98 | 0.00 | 1.41 | 0.80 |
time (sec) |
N/A | 0.255 | 0.088 | 0.522 | 0.208 | 0.279 | 0.000 | 0.292 | 14.418 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 81 | 97 | 67 | 91 | 139 | 0 | 157 | 76 |
N.S. |
1 | 0.79 | 0.94 | 0.65 | 0.88 | 1.35 | 0.00 | 1.52 | 0.74 |
time (sec) |
N/A | 0.279 | 0.421 | 0.687 | 0.221 | 0.282 | 0.000 | 0.338 | 15.834 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 111 | 135 | 91 | 130 | 217 | 0 | 211 | 132 |
N.S. |
1 | 0.77 | 0.93 | 0.63 | 0.90 | 1.50 | 0.00 | 1.46 | 0.91 |
time (sec) |
N/A | 0.293 | 0.382 | 0.649 | 0.222 | 0.283 | 0.000 | 0.356 | 14.283 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 120 | 301 | 194 | 329 | 127 | 0 | 149 | 193 |
N.S. |
1 | 1.14 | 2.87 | 1.85 | 3.13 | 1.21 | 0.00 | 1.42 | 1.84 |
time (sec) |
N/A | 0.592 | 2.327 | 1.193 | 0.311 | 0.289 | 0.000 | 4.799 | 15.578 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 87 | 893 | 151 | 247 | 107 | 0 | 123 | 139 |
N.S. |
1 | 1.12 | 11.45 | 1.94 | 3.17 | 1.37 | 0.00 | 1.58 | 1.78 |
time (sec) |
N/A | 0.434 | 7.103 | 0.954 | 0.314 | 0.277 | 0.000 | 2.134 | 15.212 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 53 | 241 | 104 | 163 | 86 | 0 | 96 | 83 |
N.S. |
1 | 1.08 | 4.92 | 2.12 | 3.33 | 1.76 | 0.00 | 1.96 | 1.69 |
time (sec) |
N/A | 0.328 | 1.200 | 0.662 | 0.304 | 0.274 | 0.000 | 0.886 | 14.402 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 60 | 49 | 78 | 35 | 0 | 50 | 25 |
N.S. |
1 | 1.00 | 2.86 | 2.33 | 3.71 | 1.67 | 0.00 | 2.38 | 1.19 |
time (sec) |
N/A | 0.232 | 0.372 | 0.530 | 0.312 | 0.271 | 0.000 | 0.455 | 13.829 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 64 | 100 | 59 | 93 | 64 | 0 | 66 | 65 |
N.S. |
1 | 1.05 | 1.64 | 0.97 | 1.52 | 1.05 | 0.00 | 1.08 | 1.07 |
time (sec) |
N/A | 0.397 | 1.021 | 0.616 | 0.317 | 0.286 | 0.000 | 0.326 | 14.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 98 | 254 | 85 | 137 | 134 | 0 | 98 | 158 |
N.S. |
1 | 1.11 | 2.89 | 0.97 | 1.56 | 1.52 | 0.00 | 1.11 | 1.80 |
time (sec) |
N/A | 0.528 | 1.074 | 0.665 | 0.315 | 0.282 | 0.000 | 0.351 | 14.415 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 125 | 359 | 111 | 177 | 198 | 0 | 127 | 206 |
N.S. |
1 | 1.07 | 3.07 | 0.95 | 1.51 | 1.69 | 0.00 | 1.09 | 1.76 |
time (sec) |
N/A | 0.652 | 1.632 | 0.733 | 0.302 | 0.279 | 0.000 | 0.393 | 14.903 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 84 | 125 | 78 | 80 | 85 | 0 | 223 | 193 |
N.S. |
1 | 0.70 | 1.04 | 0.65 | 0.67 | 0.71 | 0.00 | 1.86 | 1.61 |
time (sec) |
N/A | 0.268 | 0.378 | 1.679 | 0.206 | 0.297 | 0.000 | 5.808 | 17.773 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 50 | 83 | 46 | 50 | 55 | 0 | 180 | 135 |
N.S. |
1 | 0.77 | 1.28 | 0.71 | 0.77 | 0.85 | 0.00 | 2.77 | 2.08 |
time (sec) |
N/A | 0.253 | 0.170 | 1.334 | 0.221 | 0.287 | 0.000 | 3.471 | 15.771 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 36 | 51 | 38 | 40 | 45 | 0 | 136 | 77 |
N.S. |
1 | 0.75 | 1.06 | 0.79 | 0.83 | 0.94 | 0.00 | 2.83 | 1.60 |
time (sec) |
N/A | 0.241 | 0.090 | 0.847 | 0.216 | 0.287 | 0.000 | 1.580 | 14.186 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 27 | 30 | 29 | 31 | 31 | 0 | 33 | 22 |
N.S. |
1 | 0.82 | 0.91 | 0.88 | 0.94 | 0.94 | 0.00 | 1.00 | 0.67 |
time (sec) |
N/A | 0.243 | 0.047 | 0.692 | 0.227 | 0.303 | 0.000 | 0.647 | 14.354 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 28 | 56 | 37 | 35 | 43 | 177 | 57 | 35 |
N.S. |
1 | 0.78 | 1.56 | 1.03 | 0.97 | 1.19 | 4.92 | 1.58 | 0.97 |
time (sec) |
N/A | 0.225 | 0.106 | 0.244 | 0.225 | 0.286 | 11.780 | 0.367 | 14.186 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 65 | 83 | 55 | 74 | 106 | 0 | 117 | 62 |
N.S. |
1 | 0.80 | 1.02 | 0.68 | 0.91 | 1.31 | 0.00 | 1.44 | 0.77 |
time (sec) |
N/A | 0.262 | 0.141 | 0.590 | 0.241 | 0.300 | 0.000 | 0.319 | 14.246 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 95 | 121 | 79 | 110 | 162 | 0 | 186 | 89 |
N.S. |
1 | 0.77 | 0.98 | 0.64 | 0.89 | 1.32 | 0.00 | 1.51 | 0.72 |
time (sec) |
N/A | 0.279 | 0.262 | 0.704 | 0.220 | 0.310 | 0.000 | 0.369 | 14.182 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 125 | 154 | 103 | 167 | 283 | 0 | 236 | 151 |
N.S. |
1 | 0.76 | 0.93 | 0.62 | 1.01 | 1.72 | 0.00 | 1.43 | 0.92 |
time (sec) |
N/A | 0.301 | 0.610 | 0.717 | 0.212 | 0.297 | 0.000 | 0.420 | 14.320 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 123 | 495 | 161 | 301 | 117 | 0 | 136 | 179 |
N.S. |
1 | 1.03 | 4.16 | 1.35 | 2.53 | 0.98 | 0.00 | 1.14 | 1.50 |
time (sec) |
N/A | 0.453 | 5.790 | 1.423 | 0.301 | 0.287 | 0.000 | 4.858 | 15.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 76 | 767 | 106 | 196 | 97 | 0 | 99 | 111 |
N.S. |
1 | 1.06 | 10.65 | 1.47 | 2.72 | 1.35 | 0.00 | 1.38 | 1.54 |
time (sec) |
N/A | 0.401 | 7.081 | 1.057 | 0.311 | 0.296 | 0.000 | 2.220 | 14.478 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 38 | 177 | 71 | 123 | 66 | 0 | 79 | 61 |
N.S. |
1 | 1.12 | 5.21 | 2.09 | 3.62 | 1.94 | 0.00 | 2.32 | 1.79 |
time (sec) |
N/A | 0.374 | 1.050 | 0.717 | 0.299 | 0.272 | 0.000 | 0.949 | 14.212 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 39 | 42 | 30 | 49 | 42 | 0 | 29 | 22 |
N.S. |
1 | 1.18 | 1.27 | 0.91 | 1.48 | 1.27 | 0.00 | 0.88 | 0.67 |
time (sec) |
N/A | 0.349 | 0.020 | 0.623 | 0.298 | 0.283 | 0.000 | 0.508 | 13.988 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 111 | 149 | 72 | 113 | 106 | 0 | 84 | 78 |
N.S. |
1 | 1.04 | 1.39 | 0.67 | 1.06 | 0.99 | 0.00 | 0.79 | 0.73 |
time (sec) |
N/A | 0.437 | 1.483 | 0.658 | 0.293 | 0.274 | 0.000 | 0.337 | 14.336 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 143 | 314 | 98 | 157 | 154 | 0 | 114 | 182 |
N.S. |
1 | 1.03 | 2.26 | 0.71 | 1.13 | 1.11 | 0.00 | 0.82 | 1.31 |
time (sec) |
N/A | 0.458 | 1.365 | 0.619 | 0.303 | 0.279 | 0.000 | 0.398 | 14.935 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 183 | 276 | 124 | 197 | 250 | 0 | 144 | 230 |
N.S. |
1 | 1.02 | 1.54 | 0.69 | 1.10 | 1.40 | 0.00 | 0.80 | 1.28 |
time (sec) |
N/A | 0.528 | 6.498 | 0.670 | 0.295 | 0.292 | 0.000 | 0.417 | 15.781 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 98 | 140 | 86 | 90 | 95 | 0 | 246 | 225 |
N.S. |
1 | 0.72 | 1.02 | 0.63 | 0.66 | 0.69 | 0.00 | 1.80 | 1.64 |
time (sec) |
N/A | 0.274 | 0.455 | 4.210 | 0.203 | 0.286 | 0.000 | 20.535 | 18.396 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 70 | 93 | 66 | 70 | 75 | 0 | 202 | 167 |
N.S. |
1 | 0.71 | 0.94 | 0.67 | 0.71 | 0.76 | 0.00 | 2.04 | 1.69 |
time (sec) |
N/A | 0.261 | 0.293 | 2.391 | 0.198 | 0.287 | 0.000 | 6.252 | 18.699 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 50 | 64 | 46 | 50 | 55 | 0 | 158 | 109 |
N.S. |
1 | 0.77 | 0.98 | 0.71 | 0.77 | 0.85 | 0.00 | 2.43 | 1.68 |
time (sec) |
N/A | 0.252 | 0.140 | 1.622 | 0.206 | 0.275 | 0.000 | 3.598 | 15.504 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 37 | 36 | 37 | 45 | 53 | 0 | 112 | 72 |
N.S. |
1 | 0.80 | 0.78 | 0.80 | 0.98 | 1.15 | 0.00 | 2.43 | 1.57 |
time (sec) |
N/A | 0.251 | 0.140 | 1.035 | 0.212 | 0.292 | 0.000 | 1.666 | 14.651 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 32 | 33 | 30 | 36 | 42 | 457 | 56 | 36 |
N.S. |
1 | 0.91 | 0.94 | 0.86 | 1.03 | 1.20 | 13.06 | 1.60 | 1.03 |
time (sec) |
N/A | 0.249 | 0.051 | 0.807 | 0.208 | 0.293 | 18.795 | 0.736 | 14.508 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 44 | 79 | 49 | 60 | 76 | 411 | 87 | 48 |
N.S. |
1 | 0.79 | 1.41 | 0.88 | 1.07 | 1.36 | 7.34 | 1.55 | 0.86 |
time (sec) |
N/A | 0.238 | 0.113 | 0.322 | 0.212 | 0.296 | 19.012 | 0.438 | 14.629 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 79 | 97 | 67 | 98 | 151 | 0 | 143 | 75 |
N.S. |
1 | 0.78 | 0.96 | 0.66 | 0.97 | 1.50 | 0.00 | 1.42 | 0.74 |
time (sec) |
N/A | 0.279 | 0.230 | 0.578 | 0.211 | 0.308 | 0.000 | 0.354 | 14.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 109 | 139 | 91 | 146 | 240 | 0 | 212 | 102 |
N.S. |
1 | 0.76 | 0.97 | 0.64 | 1.02 | 1.68 | 0.00 | 1.48 | 0.71 |
time (sec) |
N/A | 0.291 | 0.486 | 0.749 | 0.220 | 0.286 | 0.000 | 0.409 | 14.658 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 139 | 169 | 115 | 188 | 317 | 0 | 261 | 170 |
N.S. |
1 | 0.75 | 0.91 | 0.62 | 1.02 | 1.71 | 0.00 | 1.41 | 0.92 |
time (sec) |
N/A | 0.317 | 0.891 | 0.743 | 0.229 | 0.291 | 0.000 | 0.490 | 14.537 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 242 | 362 | 227 | 429 | 147 | 0 | 175 | 265 |
N.S. |
1 | 1.02 | 1.53 | 0.96 | 1.81 | 0.62 | 0.00 | 0.74 | 1.12 |
time (sec) |
N/A | 0.648 | 3.588 | 5.024 | 0.314 | 0.306 | 0.000 | 25.908 | 15.698 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 174 | 303 | 195 | 343 | 127 | 0 | 149 | 208 |
N.S. |
1 | 1.03 | 1.79 | 1.15 | 2.03 | 0.75 | 0.00 | 0.88 | 1.23 |
time (sec) |
N/A | 0.521 | 3.629 | 3.214 | 0.303 | 0.276 | 0.000 | 12.476 | 15.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 103 | 230 | 138 | 257 | 97 | 0 | 123 | 148 |
N.S. |
1 | 1.04 | 2.32 | 1.39 | 2.60 | 0.98 | 0.00 | 1.24 | 1.49 |
time (sec) |
N/A | 0.446 | 2.075 | 2.007 | 0.300 | 0.304 | 0.000 | 4.996 | 14.976 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 74 | 241 | 105 | 171 | 87 | 0 | 97 | 92 |
N.S. |
1 | 1.12 | 3.65 | 1.59 | 2.59 | 1.32 | 0.00 | 1.47 | 1.39 |
time (sec) |
N/A | 0.505 | 1.727 | 1.282 | 0.315 | 0.300 | 0.000 | 2.249 | 14.727 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 55 | 117 | 61 | 98 | 83 | 0 | 63 | 37 |
N.S. |
1 | 1.20 | 2.54 | 1.33 | 2.13 | 1.80 | 0.00 | 1.37 | 0.80 |
time (sec) |
N/A | 0.377 | 0.853 | 0.768 | 0.304 | 0.300 | 0.000 | 1.073 | 14.480 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 74 | 125 | 45 | 72 | 80 | 0 | 50 | 35 |
N.S. |
1 | 1.23 | 2.08 | 0.75 | 1.20 | 1.33 | 0.00 | 0.83 | 0.58 |
time (sec) |
N/A | 0.416 | 0.324 | 0.680 | 0.305 | 0.269 | 0.000 | 0.608 | 13.810 |